The height of triangle is 7 units and base of triangle is 14 units
Solution:
The area of triangle is given by formula:
[tex]\text{Area of triangle } = \frac{1}{2} \times b \times h[/tex]
Where,
"b" is the base and "h" is the height of triangle
Given in question that,
Area = 49 square units
Also given that, base of a triangle is twice its height
Base of triangle = twice the height
b = 2h
Substituting the values in formula,
[tex]49 = \frac{1}{2} \times 2h \times h\\\\49 = h^2\\\\\text{Taking square root on both sides }\\\\h = \pm 7[/tex]
Since, height cannot be negative, ignore -7
The solution is h = 7
Substitute h = 7 in b = 2h
b = 2h
b = 2(7)
b = 14
Thus height of triangle is 7 units and base of triangle is 14 units
